论文标题
圈子：自我抛光弯曲杆的细长身体分析
Going in circles: Slender body analysis of a self-propelling bent rod
论文作者
论文摘要
我们研究了自我推测不对称弯曲杆的二维运动。通过采用细长的身体理论和Lorentz相互定理，我们确定了不同几何构型和任意表面活性的粒子轨迹。我们的分析表明，所有粒子轨迹都可以通过圆的方程来数学表达。粒子的旋转速度决定了圆形运动的频率，而翻译速度和旋转速度的比率描述了圆形轨迹的半径。我们发现，即使对于均匀的表面活性，几何不对称性也足以诱导自我宣传运动。具体而言，对于均匀的表面活性，我们观察（i）当弯曲杆臂的长度相等时，粒子仅翻译，（ii）当一个臂的长度大约是另一只臂的长度的四倍，并且臂之间的角度大约为π/2，旋转速度和翻译速度为最大。我们通过比较几何学对流体动力抗性张量和活跃驱动力的影响来解释这些趋势。总体而言，此处介绍的结果量化了复合范围的身体中的自我推测，并激发了对高度不对称颗粒的自我促进的未来研究。
We study the two-dimensional motion of a self-propelling asymmetric bent rod. By employing slender body theory and the Lorentz reciprocal theorem, we determine particle trajectories for different geometric configurations and arbitrary surface activities. Our analysis reveals that all particle trajectories can be mathematically expressed through the equation for a circle. The rotational speed of the particle dictates the frequency of the circular motion and the ratio of translational and rotational speeds describes the radius of the circular trajectory. We find that even for uniform surface activity, geometric asymmetry is sufficient to induce a self-propelling motion. Specifically, for uniform surface activity, we observe (i) when bent rod arm lengths are equal, the particle only translates, (ii) when the length of one arm is approximately four times the length of the other arm and the angle between the arms is approximately π/2, the rotational and translational speeds are at their maximum. We explain these trends by comparing the impact of geometry on the hydrodynamic resistance tensor and the active driving force. Overall, the results presented here quantify self-propulsion in composite-slender bodies and motivate future research into self-propulsion of highly asymmetric particles.
